Types of Expressions based on Number of Terms

Q.

In a polynomial, the exponents of the variables are always

1. Integers

2. Positive integers

3. Non-negative integers

4. Non-positive integers

Q.

Which algebraic expressions are polynomials? Check all that apply.

1. $2x^3-\frac{1}{x}$

2. $x^{3}y-3x^2+6x$

3. $y^2+5y-\sqrt{3}$

4. $2-\sqrt{4x}$

5. $-x\sqrt{6}$

6. $-\frac{1}{3}{x}^3-\frac{1}{2}{x}^2+\frac{1}{4}$

Q. Which among the following expression on simplification gives a binomial?

1. $4x+6y-3x+5y+7z$
2. $5x(8z-9y)$
3. $2x+3y-4x-3y$
4. $7x(2a+3b+4c)$

Q. Arrange the following algebraic expressions in ascending order of number of terms from top to bottom.

1. $4x^2+3x+2$
2. $\frac{2x}{7y}$
3. $x+y^2+z+2w$
4. $\frac{x}{y}+2$

Q. A binomial expression is an expression which contains unlike terms in it after simplification.

Q. After simplifying the products in the given expression, which type of expression is obtained?

$2p(3p+4q)-5q(6p-7q)$

1. Monomial
2. Binomial
3. Trinomial
4. Polynomial

Q. When we multiply a monomial with some another (or same) monomial, we get a

1. Monomial
2. Binomial
3. Trinomial
4. None of these

Q. $8pq+4p^2+7q^2+9pqr$
Which type of expression is given above?

1. Monomial
2. Binomial
3. Trinomial
4. Polynomial

Q.

State true or false :

$5y$ has two terms that is $5$ and $y$

1. True
2. False

Q.

Simplify: $(p+q)(p+2q)$